Over the past decade there have been repeated calls for the greater taxation of wealth. These calls have had little impact on policy. There has been a global trend to reduce or abolish taxes on wealth. The contrast suggests that it may be better now to explore how taxes on wealth may be made a reality rather than designing new tax proposals. What are the barriers to tax wealth? This paper addresses this by conducting a case study of a high profile plan for introducing a one-off wealth tax in the UK. It identifies a tyranny of the status quo, framing and the policy process as key barriers to tax reform. It uses thematic analysis to study how the plans for a one-off wealth tax were discussed in the media and the UK Parliament. This paper argues that there were important shortfalls in both the way the case for a wealth tax was framed as well as the engagement with the policy process. It claims that a stronger framing would have discussed wealth inequality in greater depth and there was a need for a less equivocal case to Parliamentarians.